54042601485600 has 3456 divisors, whose sum is σ = 251940404782080. Its totient is φ = 11076328488960.

The previous prime is 54042601485559. The next prime is 54042601485601. The reversal of 54042601485600 is 658410624045.

It is a happy number.

54042601485600 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 26 + 0 + 14 + 8 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54042601485601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 124809702984 + ... + 124809703416.

It is an arithmetic number, because the mean of its divisors is an integer number (72899422680).

Almost surely, 2^{54042601485600} is an apocalyptic number.

54042601485600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54042601485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125970202391040).

54042601485600 is an abundant number, since it is smaller than the sum of its proper divisors (197897803296480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54042601485600 is a wasteful number, since it uses less digits than its factorization.

54042601485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54042601485600 in words is "fifty-four trillion, forty-two billion, six hundred one million, four hundred eighty-five thousand, six hundred".